how many sublevels exist in the fourth principle energy level?
a) 2
b) 4
c) 16
d) an infinite number
l may be 0, 1, 2, 3, 4, etc to a maximum of n-1. Therefore, for n = 4 it can be no larger than 3.
So the four sublevels will be 0, 1, 2, and 3.
To determine the number of sublevels in the fourth principal energy level, we need to understand the relationship between principal energy levels, sublevels, and orbitals.
The number of sublevels in a principal energy level is equal to its principal quantum number (n). The principal quantum number begins at 1 and increases by 1 in each subsequent energy level.
In the fourth principal energy level (n = 4), the number of sublevels is equal to the value of the principal quantum number (n = 4). Therefore, there are 4 sublevels in the fourth principal energy level.
Hence, the correct answer is b) 4.